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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=3/4, b>=a > For fixed z and a=3/4, b=15/4





http://functions.wolfram.com/07.23.03.aj3f.01









  


  








Input Form





Hypergeometric2F1[3/4, 15/4, 2, z] == -((1/(231 Pi (-1 + z)^3 z)) (8 (2 (-21 + 80 z - 91 z^2 + 32 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (21 (1 + Sqrt[1 - z]) - (80 + 17 Sqrt[1 - z]) z + (91 + 8 Sqrt[1 - z]) z^2 - 32 z^3) EllipticK[(1/2) (1 - Sqrt[1 - z])])))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02